Polynomial Automorphisms and the Jacobian Conjecture (eBook)

New Results from the Beginning of the 21st Century

Arno van den Essen, Shigeru Kuroda, Anthony J. Crachiola (Autoren)

eBook Download: PDF

2021 | 1. Auflage
XII, 189 Seiten
Birkhäuser Basel (Verlag)
978-3-030-60535-3 (ISBN)

Infos

This book is an extension to Arno van den Essen's Polynomial Automorphisms and the Jacobian Conjecture published in 2000.  Many new exciting results have been obtained in the past two decades, including the solution of Nagata's Conjecture, the complete solution of Hilbert's fourteenth problem, the equivalence of the Jacobian Conjecture and the Dixmier Conjecture, the symmetric reduction of the Jacobian Conjecture, the theory of Mathieu-Zhao spaces and counterexamples to the Cancellation problem in positive characteristic. These and many more results are discussed in detail in this work.

The book is aimed at graduate students and researchers in the field of Affine Algebraic Geometry. Exercises are included at the end of each section.

Produkt-Details

• Erscheint lt. Verlag: 31.3.2021
• Reihe/Serie: Frontiers in Mathematics
• Zusatzinfo: XII, 189 p. 2 illus.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: Abhyankar-Moh Theorem • Cancellation Problem • Dixmier Conjecture • Face Polynomials • Hilbert's 14th Problem • Jacobian Conjecture • Mathieu-Zhao Spaces • Tame and Wild Automorphisms • Tame Generators Problem
• ISBN-10: 3-030-60535-3 / 3030605353
• ISBN-13: 978-3-030-60535-3 / 9783030605353